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Finding the Fourth Proportional to 3,065.77, 4,230.80 and 1,668.52

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Solution

The fourth proportional to 3,065.77, 4,230.80 and 1,668.52 is: 2,302.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,065.77 : 4,230.80 = 1,668.52 : x
  2. Step 2: Convert to fraction form
    3,065.77/4,230.80 = 1,668.52/x
  3. Step 3: Cross multiply
    3,065.77x = 4,230.80 × 1,668.52
  4. Step 4: Simplify right side
    3,065.77x = 7,059,174.42
  5. Step 5: Solve for x
    x = 7,059,174.42/3,065.77
  6. Step 6: Final answer
    x = 2,302.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.